On subvarieties of degenerations of Fano varieties

DOI10.1142/S0129167X24500575MaRDI QIDQ6644178

Santai Qu

Publication date: 27 November 2024

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fano varietydegenerationfield arithmeticrationally connected variety

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Fibrations, degenerations in algebraic geometry (14D06) Rationally connected varieties (14M22)

Cites Work

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• A conjecture of Ax and degenerations of Fano varieties
• Théoremes de Bertini et applications
• Anti-pluricanonical systems on Fano varieties
• On Shokurov's rational connectedness conjecture
• The elementary theory of finite fields
• Congruences for rational points on varieties over finite fields
• Rational connectedness of log Q-Fano varieties
• Existence of minimal models for varieties of log general type
• Congruence for rational points over finite fields and coniveau over local fields
• Degenerations of rationally connected varieties
• ON AX-FIELDS WHICH ARE C₁
• Néron Models
• Every rationally connected variety over the function field of a curve has a rational point
• Joins and Intersections
• Families of rationally connected varieties
• Introduction
• Anticanonical system of Fano fivefolds

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